Iterative methods for computing the generalized inverses AT, S(2) of a matrix A

摘要

In this paper the iterative methods for computing the generalized inverse AT, S(2), the unique matrix X such that XAX = X, R(X) = T, and N(X) = S, are established, and the iterative methods for computing many important generalized inverses of matrices such as A+, AMN+, A(d), A#, Ad, w, A(L)(−1), A(L)(+), and (APL)+ are constructed.